The sat mathematics scores in the state of florida are approximately normally distributed with a mean of 500 and a standard deviation of 100. using the empirical rule, what is the probability that a randomly selected student’s math score is between 300 and 700? express your answer as a decimal.

0.9544

Step-by-step explanation:

Mean =

Standard deviation =

Formula of z score :  -- 1

Now we are supposed to find  the probability that a randomly selected student’s math score is between 300 and 700

So, Substitute x = 300 in 1

Substitute x = 700

So, P(-2<z<2)

P(z<2)-P(z<-2)

Using the z table substitute the values .0228

=0.9772-0.0228

=0.9544

So,  the probability that a randomly selected student’s math score is between 300 and 700 is 0.9544